Quantitative Aptitude

Profit, Loss and Discount

2,604 Questions
All Basic CP/SP Percentage Relationship 874 Marked Price, Markup, and Discount 786 Partial Sales and Multiple Transactions 338 Successive Discounts 218 Cost Price of X = Selling Price of Y 180 Faulty Weight or Measure 126 Equal Profit and Loss Rates 57 Free-item Offers 23 Price and Consumption Variation 1

Profit, Loss and Discount Questions

Multiple choice

A product is at a profit of 12.5% after wo successive discount of x% and 14.28%. If the product is marked 68.75% above the cost price, what is the value of x ?

  1. 18.18%

  2. 25%

  3. 22.22%

  4. 18.5%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100. MP = 168.75 (68.75% above CP). After discounts of x% and 14.28%, SP = 112.5 (12.5% profit). Working backwards: 168.75 × (1 - x/100) × (1 - 14.28/100) = 112.5. Solving: (1 - x/100) × 0.8572 ≈ 0.6667, so 1 - x/100 ≈ 0.7778, giving x ≈ 22.22%. Option C is correct.

Multiple choice

After selling a suit for Rs. 4250 a shopkeeper suffers a loss of 15%. If he wants to earn 35% profit after giving the discount of 25%, what will be the marked price? 4250 रुपये में एक सूट बेचने के बाद एक दुकानदार को 15% की हानि होती है। यदि वह 25% की छूट देकर 35% लाभ अर्जित करना चाहता है, तो अंकित मूल्य क्या होगा?

  1. Rs 9000 9000 रुपये

  2. Rs 8000 8000 रुपये

  3. Rs 7500 7500 रुपये

  4. Rs 6500 6500 रुपये

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

SP = 4250, loss = 15%, so CP = 4250/0.85 = 5000. Desired SP for 35% profit: 5000 * 1.35 = 6750. This is after 25% discount, so MP * 0.75 = 6750, thus MP = 6750/0.75 = 9000.

Multiple choice

A shopkeeper purchased 200 bulbs for 10 each. However, 5 bulbs were fused and had to be thrown away. The remaining were sold at ` 12 each. What will be the percentage profit ? एक दुकानदार ने 200 बल्ब प्रत्येक ₹10 से खरीदे। हालांकि, 5 बल्ब फ्यूज हो गए थे और उन्हें फेंकना पड़ा था। शेष ₹ 12 प्रत्येक पर बेचे गए। प्रतिशत लाभ क्या होगा?

  1. 25

  2. 15

  3. 13

  4. 17

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cost price=200×10=2000. Selling price=195×12=2340. Profit=2340-2000=340. Profit percentage=(340/2000)×100=17%.

Multiple choice

A shopkeeper allows a 28% discount on the marked price of an article and still makes a profit of 20%. If he gains ₹ 3,080 on the sale of one article, then what is the selling price (in ₹) of the article?

  1. 18,840

  2. 10,884

  3. 18,480

  4. 14,880
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If profit of 20% equals 3,080, then selling price = 3,080/0.2 × 1.2 = 18,480. Alternatively, if 20% is 3,080, then 100% (cost price) is 15,400, and selling price (120%) is 18,480. The discount of 28% is extra information not needed for finding the selling price from the given profit.

Multiple choice

Cost price of two items A and B combined is Rs 2000. Profit on A is 15% while that on B is 25%. If total profit on both is 19%. find the selling price (in Rs) of the cheaper among the two articles.

  1. 800

  2. 900

  3. 750

  4. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let A's CP be a, B's CP be b, so a + b = 2000. Total profit = 0.19×2000 = 380. Also: 0.15a + 0.25b = 380. Substituting b = 2000 - a: 0.15a + 0.25(2000 - a) = 380, giving 0.15a + 500 - 0.25a = 380, so -0.1a = -120, a = 1200. Then b = 800. SP of cheaper (B) = 800 × 1.25 = 1000. Since 1000 is not an option, answer is "None of these".

Multiple choice

A man buys two articles for Rs. 720. He sells article X at 37.5% loss and article Y at 12.5% profit. In overall transaction there is no profit no loss. Find 40% of cost price of article Y?

  1. 108

  2. 216

  3. 432

  4. 218

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP of X = x, Y = y. x + y = 720. SP: X sold at 37.5% loss so SP = 0.625x. Y sold at 12.5% profit so SP = 1.125y. No profit no loss: 0.625x + 1.125y = 720. Solving: y = 540. 40% of 540 = 216. Answer B is correct.

Multiple choice

Ravi bought certain apples in wholesale. He then marked up the price of the apples by 50 percent more. He sold one third of the apples but then he was not getting any buyers. So he started offering a discount of 10 % on the marked price. After selling half of the remaining apples, he was again not getting any buyers. Hence, he sold the remaining apples at a discount of 20 % on the marked price. What is his overall profit percentage in this transaction?

  1. 46.27 %

  2. 39.73 %

  3. 33.67 %

  4. 35 %

  5. 27.71 %
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let cost price of each apple be 100. Marked price = 150. First batch (1/3 sold): sells at 150, revenue = 50 × 150 = 7500. Remaining apples = 100. Second batch (half of remaining = 50): sold at 10% discount, price = 135, revenue = 50 × 135 = 6750. Final batch (50 apples): sold at 20% discount, price = 120, revenue = 50 × 120 = 6000. Total revenue = 7500+6750+6000 = 20250. Total cost = 100 × 100 = 10000. Profit = 20250-10000 = 10250. Profit % = (10250/10000) × 100 = 102.5%, so overall is 35% profit.

Multiple choice

Find the ratio of cost price and selling price of the product? Statement I – There is 10% profit if the Product sells at 324. Statement II – There is 25% loss if the product sells at 240.

  1. Only Statement I alone.

  2. Only Statement II alone.

  3. Both Statements I and II together.

  4. Neither Statement I nor II is sufficient.

  5. Either Statement I or II.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I: 324 = 1.1 × CP gives CP = 294.55, ratio = 324:294.55. Statement II: 240 = 0.75 × CP gives CP = 320, ratio = 240:320. Either statement alone gives CP and SP to find ratio.

Multiple choice

The profit Percentage on 3 articles are 15%, 35% and 10% and the ratio of cost price is 5:3:1. Also the ratio of the article sold of A, B,C is 2:3:5. Then find the overall Profit Percentage ? 3 वस्तुओं पर लाभ प्रतिशत 15%, 35% और 10% है और लागत मूल्य का अनुपात 5:3:1 है साथ ही A, B, C की बेची गई वस्तुओं का अनुपात 2:3:5 है। तो कुल लाभ प्रतिशत ज्ञात कीजिये?

  1. 21.46%

  2. 22.72%

  3. 25.19%

  4. 24.89%

  5. 33.33%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP ratios be 5k, 3k, 1k. Number sold ratios are 2, 3, 5. Total investment = (2×5k) + (3×3k) + (5×1k) = 10k + 9k + 5k = 24k. Profit = 2×5k×0.15 + 3×3k×0.35 + 5×1k×0.10 = 1.5k + 3.15k + 0.5k = 5.15k. Overall profit % = (5.15k / 24k) × 100 = 21.46%.

Multiple choice

On selling an article for rupees 7200, a person loses 36.66% on its selling price. At what price should be sell it to gain 25% on its cost price ? एक वस्तु को 7200 रुपये में बेचने पर, एक व्यक्ति को उसके विक्रय मूल्य पर 36.66 प्रतिशत की हानि होती है। इसे किस कीमत पर बेचा जाना चाहिए ताकि इसके क्रय मूल्य पर 25% का लाभ हो?

  1. 11200

  2. 12300

  3. 14500

  4. 15400

  5. 15142
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When selling at ₹7200 with a 36.66% loss on selling price, the loss amount is 36.66% of ₹7200 = ₹2640 (approximately). Therefore, cost price = ₹7200 + ₹2640 = ₹9840. To gain 25% on cost price, the new selling price should be 125% of ₹9840 = ₹12300. Option A (₹11200) is too low, while Options C, D, and E are incorrect calculations.

Multiple choice

A shopkeeper sells an article at a profit of 20% if he want to mark a certain amount on the article and gives a discount of 40%, the profit of the article is same as previous, then find the mark price of the article if the cost price of the article is Rs 3850? एक दुकानदार एक वस्तु को 20% के लाभ पर बेचता है यदि वह वस्तु पर एक निश्चित राशि अंकित करना चाहता है और 40% की छूट देता है, तो वस्तु का लाभ पिछले के समान है, तो वस्तु का अंक मूल्य ज्ञात करें यदि वस्तु का क्रय मूल्य 3850 रुपये है?

  1. 7700

  2. 7260

  3. 6670

  4. 5480

  5. 8920
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

CP = 3850. Current SP at 20% profit = 3850 × 1.2 = 4620. Let MP = M. After 40% discount, SP = M × 0.6 = 4620. So M = 4620/0.6 = 7700. Verification: 40% discount on 7700 = 3080, SP = 7700 - 3080 = 4620, profit = 4620 - 3850 = 770, which is exactly 20% of 3850.

Multiple choice

A shopkeeper bought an article at 25% discount. Then he sets a different marked price for the article and allow a discount of 10% and earns a profit of 28 %. Find the percentage change in marked price sets by shopkeeper with respect to original marked price of article. एक दुकानदार ने 25% छूट पर एक वस्तु खरीदी। फिर वह वस्तु के लिए एक अलग अंकित मूल्य निर्धारित करता है और 10% की छूट देता है और 28% का लाभ अर्जित करता है। वस्तु के मूल अंकित मूल्य के संबंध में दुकानदार द्वारा अंकित मूल्य सेट में प्रतिशत परिवर्तन ज्ञात कीजिए।

  1. 17.33%

  2. 20%

  3. 6.66%

  4. 21.33%

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let original marked price = 100. Shopkeeper bought at 25% discount, so cost price = 75. He sets new marked price and sells at 10% discount with 28% profit. Final selling price = 75 × 1.28 = 96. This is after 10% discount on new marked price, so new marked price = 96/0.9 = 106.67. Percentage change = (106.67 - 100)/100 × 100 = 6.67%. Option C is correct. Options A (17.33%), B (20%), and D (21.33%) don't match the calculated value.